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Finding the Third Proportional to 286,658 and 669,395

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Solution

The third proportional to 286,658 and 669,395 is: 1,563,150.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,658 : 669,395 = 669,395 : x
  2. Step 2: Convert to fraction form
    286,658/669,395 = 669,395/x
  3. Step 3: Cross multiply
    286,658x = 669,395 × 669,395
  4. Step 4: Simplify right side
    286,658x = 448,089,666,025
  5. Step 5: Solve for x
    x = 448,089,666,025/286,658
  6. Step 6: Final answer
    x = 1,563,150.74

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.